posted by briana .
verify : [sec(x) / csc(x) - cot(x)] - [sec(x) / csc(x) + cot(x)] = 2csc(x)
Use the following identities to express everything in sin(x), cos(x), tan(x) and cot(x):
Unless there is a typo on the right-hand-side, I find the given identity not true.
i put it in my graphing calculator, though, and they graph the same function
This is why I suspected there is a typo.
The left-hand-side evaluates to -2csc(x).
The right-hand-side, 2*csc(x).
I suggest you recheck the expressions posted.
Here's a plot of each side of the identity as posted.
The left-hand-side evaluates to -2cot(x).